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Finding the Fourth Proportional to 16,682.26, 23,021 and 9,966.38

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Solution

The fourth proportional to 16,682.26, 23,021 and 9,966.38 is: 13,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,682.26 : 23,021 = 9,966.38 : x
  2. Step 2: Convert to fraction form
    16,682.26/23,021 = 9,966.38/x
  3. Step 3: Cross multiply
    16,682.26x = 23,021 × 9,966.38
  4. Step 4: Simplify right side
    16,682.26x = 229,436,033.98
  5. Step 5: Solve for x
    x = 229,436,033.98/16,682.26
  6. Step 6: Final answer
    x = 13,753.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.